Answer: David has 11 DVDs and 27 books.
Step-by-step explanation:
When numbers are put in ratio form they are meant to compare their relative sizes.
The first number will be the first item being compared to the other.
For instance, if you had 2 pens and 3 pencils, the ratio of your pens to your pencils will be; 2:3. The ratio of your pencils to your pens however is 3:2.
In the same vein, a ratio of books to DVDs of 27:11 means that David has 27 books and 11 DVDs.
Answer:
David has 11 DVDs and 27 books.
Step-by-step explanation:
how do Translate 4n = x(5 –n) into a sentence.
Answer:
4b=x3(76)+10
Step-by-step explanation:
what is the slope/intercept form of the following equation: -3x+2y-16=0
The scale on a floor plan is 1in:8ft. What actual distance is represented by a distance of 2.6 inches on the floor plan?
Answer:16 and 1/2 feet
Step-by-step explanation:
Yesterday, Jake drove 43 1/2 miles. Jack used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?
Step-by-step explanation:
43.5 miles per 1.25 gallons
= 34.8 miles per gallon.
1
Bill is a builder.
On Monday he made mortar mix.
He used 24kg of sand and 5kg of cement.
On Tuesday he will make the same type of mortar mix.
He will use 36kg of sand.
How much cement does he need to make the same type of mortar mix?
Answer:
7.5kg
Step-by-step explanation:
Given that:
Monday:
Mass of sand = 24 kg
Mass of cement = 5 kg
Tuesday :
Mass of sand = 36 kg
Let mass of cement = c
Mass of cement required to make the same type of mortar mix
Mass of Sand = mass of cement
24kg = 5kg
36kg = c
By cross multiplication :
24 * c = 5 * 36
24c = 180
Divide both sides by 24
c = 180 / 24
c = 7.5 kg
Hence mass of cement required is 7.5 kg
A system of linear equations includes the line that is created by the equation y = 0.5 x minus 1 and the line through the points (3, 1) and (–5, –7), shown below.
Answer:
(2, 0)
Step-by-step explanation:
First we need to get the equation of the line passing through the points (3, 1) and (–5, –7)
Equation of a line is y = mx+c
m is the slope
m = y2-y1/x2-x1
m = -7-1/-5-3
m = -8/-8
m = 1
Substitute m = 1 and the point (3, 1) into the equation y = mx+c and get c;
1 = 1(3) + c
1 = 3 + c
c = 1-3
c = -2
The required equation is y = x - 2
We are to look for the coordinate point (x,y) for which both lines intersects, then both equations will be equal as shown;
0.5x - 1 = x - 2
0.5x - x = -2+1
-0.5x = -1
x = -1/-0.5
x = 2
Substitute x = 2 into y = x - 2
y = 2-2
y = 0
Hence the the coordinate point is (2, 0)
Answer: (2,0)
Step-by-step explanation: Because I just took the Unit Test and got 100% on it.
can u explain how to do this question..pls
Answer:
use this formula, you will get the answer
Step-by-step explanation:
√(x2-x1)²+(y2-y1)²
Answer:
RS ≈ 5.39
Step-by-step explanation:
Calculate the length using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = R(- 2, 6) and (x₂, y₂ ) = S(- 4, 1)
RS = [tex]\sqrt{(-4+2)^2+(1-6)^2}[/tex]
= [tex]\sqrt{(- 2)^2+(-5)^2}[/tex]
= [tex]\sqrt{4+25}[/tex]
= [tex]\sqrt{29}[/tex]
≈ 5.39 ( to 2 dec. places )
Without dividing how can you tell if the quotient for 5873 divided into 8 is greater than 700? Explain whether the quotient is less than 800.
Answer:
Step-by-step explanation:
Given number is 5873.
To calculate the quotient when 5873 is divided by 8 we will use the approximation method.
If 5600 is the number compatible to 5873, where 5873 > 5600
5600 ÷ 8 = 700
If 6000 is the number compatible to 5873, where 5873 < 6000
6000 ÷ 8 = 750
Since, 5600 < 5873 < 6000
Therefore, [tex]\frac{5600}{8}<\frac{5873}{8}<\frac{6000}{8}[/tex]
700 < [tex]\frac{5873}{8}[/tex] < 750
Quotient for 5873 divided by 8 will be greater than 700 and less than 800.
I don’t know which one it is-
Answer:
Step-by-step explanation:
its the first one
an=4n
It’s the first one! an = 4n :)
Find the exact length of the third side. 20 21
Answer:
I am assuming these are the legs of a right triangle, in which the answer is 29
Step-by-step explanation:
pls pls pls pls help ASAP!!!!!!!!!
[Image: Vertical number line ranging from negative 5 to 5.] On this number line, zero represents sea level. Plot the following points based on the description provided. • –2
Answer:
plot it at -2
Step-by-step explanation:
it literally tells you where to put it?
hope this helps <3
Answer:
Negative 2
Step-by-step explanation:
negative 2, is below sea level. So on a vertical number line, it will be below rather zero, on -2.
Solve this equation. Show all steps please. Will give brainliest to the first serious response.
Answer:
Step-by-step explanation:
7x - 2(7x - 9) = 2(-6x + 4) Remove the brackets on both sides.
7x - 14x + 18 = -12x + 8 Combine like terms
-7x + 18 = -12x + 8 Add 12x to both sides
-7x+12x + 18 = 8 Combine like terms on the left
5x + 18 = 8 Subtract 18 from both sides
5x = 8 - 18
5x = -10 Divide by 5
x = - 10/5
x = - 2 Proof
LHS
7*-2 -2(7*-2 - 9) -14 - 2*(-14 - 9)
-14 -2 (-23)
-14 + 46
32
RHS
2(-6*-2 + 4)
2(12 + 4)
32
Which equations are equivalent to a/b = c/d? Choose more than one answer.
Answer:
1/3= 5/15
Step-by-step explanation:
Use the graph to complete the statements about the data of a car’s hourly journey.
Hours have the same total miles.
After 4 hours, the total distance traveled was miles.
The graph shows that between hours 3 and 4, the car .
Answer: 12
Step-by-step explanation:
Answer: 2 and 3, 150, continued its journey
Step-by-step explanation:
Help!! I’ve been Stuck on this last problem
Answer:
..
x = 86
y = 94
z = 54
........
5. A plumber fixed a leaky sink and charged $55 for parts and $45 per hour for labor. The total bill was
$190. Write an equation that could be used to find how many hours (x) the plumber spent fixing the sink?
What is the solution of the system of equations? Enter the solution as an ordered pair (use decimal rounded to the nearest hundredth if necessary) LaTeX: \begin{matrix}y=\frac{3}{2}x+\frac{5}{4}\\-2x+8y=-25\end{matrix}
Answer:
(3/2, 7/2)
Step-by-step explanation:
Given the system of equations;
y = 3x/2 + 5/4..... 1
-2x + 8y = 25 .... 2
Substitute equation 1 into 2;
From 2;
-2x + 8y = 25
-2x + 8(3x/2 + 5/4) = 25
-2x + 12x + 10 = 25
10x = 25 - 10
10x = 15
x = 15/10
x = 3/2
Substitute x = 3/2 into equation 1
From 1;
y = 3x/2 + 5/4
y = 3/2(3/2) + 5/4
y = 9/4 + 5/4
y = 14/4
y = 7/2
Hence the solution to the equation is (x, y) = (3/2, 7/2)
In A survey of 2400 people who owned a certain type of car 1680 said they would buy that type of car again. What percentage of the people surveyed were satisfied with the car.
Answer: 70% i think
70% * 2400 = 1680
Algebraic Expressions
Read and try to solve the problem below.
The Ramirez family is making tamales. They wrap the tamales in corn husks for baking.
They already have 8 corn husks. Isabel is bringing 3 bags of corn husks. Each bag
has the same number of corn husks.
How can you use an algebraic expression to show the total number of corn husks
the Ramirez family will have after Isabel arrives?
TRY
IT
Math Toolkit algebra tiles, number lines, sticky notes
Lo
(3x+2) (4x-5) find the value of x
Answer:
I think the answer is 35x⁴-10
Step-by-step explanation:
3x × 4x=12x²
3x × 5=15x
2 × 4x=8x
2 × -5=-10
15x+8x=23x²
12x²+23x²=35x⁴
35x⁴-10
The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?
Answer:
$308
Step-by-step explanation:
all you have to do is divide 5 by 70 and get 14 then multiply 14 by 22 and get 308
hope this helps
please mark me as brainliest
Answer:
$308
Step-by-step explanation:
70/5=$14 per hour
14*22=308
What is the value of the expression?
Answer:
[tex]-\frac{4}{5}[/tex]
Step-by-step explanation:
7/25 ÷ (-0.35) = -4/5 or -0.8
Ace Carlos
Write the equation in slope-intercept form for the line using the relation (-9,-3) (-6,-1) (-3,1) (0,3) (3,5).
A square has a perimeter of 100m. what is the length of each side?
Answer:
25m
Step-by-step explanation:
The perimeter of a square= 4L (L=length of the side)
so L=perimeter /4
=100/4=25m
need some help (Geo)
Answer:
hi
Step-by-step explanation:
Is x = -3 a solution to the equation 3x - 5 = 4 + 2x ?
Answer:
No
Step-by-step explanation:
put like terms on either side
3x-5 = 4 + 2x
subtract both sides by 2x
x - 5 = 4
add both sides by 5
x=9
so no x=-3 is NOT a solution.
please give thanks :)
and brainliest :D
Solve the system by substitution
Answer:
x=-3, y=-24
Step-by-step explanation:
solved by substitution
80 yd
64 yd
b
What is the length of the missing leg?
=
yards
Answer:
b = 48 yards
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
Leg a = x
Leg b = 64
Hypotenuse c = 80
Step 2: Solve for x
Substitute: x² + 64² = 80²Isolate x term: x² = 80² - 64²Exponents: x² = 6400 - 4096Subtract: x² = 2304Isolate x: x = √2304Evaluate: x = 48A cone shape cup is made from a circular piece of paper of radius 7 by cutting out a sector and joining the edge AC and BC. Find the maximum (volume) of such a cup
Answer:
The answer is "138.10"
Step-by-step explanation:
Let r also be cone base radius and h = the cone height.
The radius for the original circle was on either side of the cone plied together = 7.
The hypotenuse is 7, as well as a right triangle, is formed. So:
[tex]\to h^2+r^2 = 49\\\\ \to r^2 = 49-h^2[/tex]
Calculating the volume of the cone:
[tex]V = (\frac{1}{3}) \pi r^2 h \\\\[/tex]
[tex]= (\frac{1}{3}) \pi (49 -h^2) h\\\\= (\frac{1}{3}) \pi 49h -h^3\\\\[/tex]
[tex]V'(h) = (\frac{1}{3}) \pi 49 - 3h^2\\\\[/tex]
Setting the derivative to zero and solving for h^2:
[tex]49-3h^2 = 0 \\\\ h^2 = \frac{49}{3} \\\\ r^2 = 49-\frac{49}{3} \\[/tex]
[tex]= \frac{ 147 -49}{3} \\\\= \frac{98}{3} \\\\[/tex]
Calculating the maximum volume:
[tex]= \frac{1}{3} \pi \frac{98}{3} \frac{7\sqrt{3}}{3} \\\\= \frac{1}{3} \times 3.14 \times 32.66 \times 4.04 \\\\= \frac{1}{3} \times 3.14 \times 32.66 \times 4.04 \\\\= 138.10[/tex]
please help me :)
Perform the following operation
and express the answer in
scientific notation.
Answer:
6.95x10^8
Step-by-step explanation:
7x10^8=700000000
5x10^6=5000000
700000000-5000000-695000000 or 6.95x10^8